Deck 2: More on Functions

Question 1

Write an equation for the piecewise function.

A) $f ( x ) = \left\{ \begin{array} { l l } 4 , & \text { for } x < 0 \\- 4 , & \text { for } x \geq 0\end{array} \right.$
B) $f ( x ) = \left\{ \begin{array} { l l } 4 , & \text { for } x \leq 0 \\- 4 , & \text { for } x > 0\end{array} \right.$
C) $f ( x ) = \left\{ \begin{array} { l l } - 4 , & \text { for } x \leq 0 \\4 , & \text { for } x > 0\end{array} \right.$
D) $f ( x ) = \left\{ \begin{array} { l l } 4 x , & \text { for } x \leq 0 \\- 4 x , & \text { for } x > 0\end{array} \right.$

Answer 1

B

Question 2

Write an equation for the piecewise function.

A) $f ( x ) = \left\{ \begin{array} { l l } x - 3 , & \text { for } x \leq 0 \\- x ^ { 2 } , & \text { for } x > 0\end{array} \right.$
B) $f ( x ) = \left\{ \begin{array} { l l } x + 3 , & \text { for } x \leq 0 \\\sqrt { x } , & \text { for } x > 0\end{array} \right.$
C) $f ( x ) = \left\{ \begin{array} { l l } x + 3 , & \text { for } x \leq 0 \\- \sqrt { x } , & \text { for } x > 0\end{array} \right.$
D) $f ( x ) = \left\{ \begin{array} { l l } - x + 3 , & \text { for } x \leq 0 \\- \sqrt { x } , & \text { for } x > 0\end{array} \right.$

Answer 2

C

Question 3

The graph of the function f is shown below. Match the function g with the correct graph.
g(x)= f(-x)+ 4

A)
B)
C)
D)

Answer 3

Question 4

The graph of the function f is shown below. Match the function g with the correct graph.
g(x)= -f(x)- 3

A)
B)
C)
D)

Question 5

Write an equation for a function that has a graph with the given characteristics.
The shape of y=|x| is vertically stretched by a factor of 6.2 . This graph is then reflected across the x -axis. Finally, the graph is shifted 0.15 units downward.

A) $f ( x ) = 6.2 | x | - 0.15$
B) $f ( x ) = \left. 6.2 \right| _ { x } - 0.15 \mid$
C) $f ( x ) = 6.2 | - x | - 0.15$
D) $f ( x ) = - 6.2 | x | - 0.15$

Question 6

The graph of the function f is shown below. Match the function g with the correct graph.
g(x)= -f(-x)-3

A)
B)
C)
D)

Question 7

A graph of y = f(x) follows. No formula for f is given. Graph the given equation.
y= f(2x)

A)
B)

C)


D)

Question 8

The graph of the function f is shown below. Match the function g with the correct graph.
g(x)= f(x)+ 1

A)
B)
C)
D)

Question 9

Graph the function. Use the graph to find any relative maxima or minima.

A) Relative minimum of -4 at x=1
B) No relative extrema
C) Relative maximum of -4 at x=0
D) Relative minimum of -4 at x=0

Question 10

Solve.
The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 375 g, find the weight of the liquid in a cubical container 3 cm on a
Side.

A)9 g
B)81 g
C)27 g
D)12 g

Question 11

The given point is on the graph of y = f(x). Find a point on the graph of y = g(x).
$\left. g ( x ) = f - \frac { 1 } { 4 } x \right) ; ( 3 , - 4 )$

A) (12,4)
B) (-12,-4)
C) $\left( - \frac { 3 } { 4 } , - 3 \right)$
D) $\left( \frac { 1 } { 12 } , - 3 \right)$

Question 12

The graph of the function f is shown below. Match the function g with the correct graph.
g(x)= -f(-x)+ 4

A)
B)
C)
D)

Question 13

The graph of the function f is shown below. Match the function g with the correct graph.
$g ( x ) = - \frac { 1 } { 2 } f ( x )$

A)
B)
C)
D)

Question 14

The graph of the function f is shown below. Match the function g with the correct graph.
g(x)= f(x)-4

A)
B)
C)
D)

Question 15

The graph of the function f is shown below. Match the function g with the correct graph.
g(x)= f(x+2)

A)
B)
C)
D)

Question 16

The graph of the function f is shown below. Match the function g with the correct graph.
g(x)= 2f(x)

A)
B)
C)
D)

Question 17

For the pair of functions, find the indicated sum, difference, product, or quotient.
f(x)= 2x+5, g(x)= 6x+8
Find (fg)(x).

A) $12 x ^ { 2 } + 40$
B) $12 x ^ { 2 } + 46 x + 40$
C) $12 x ^ { 2 } + 38 x + 40$
D) $8 x ^ { 2 } + 46 x + 13$

Question 18

The graph of the function f is shown below. Match the function g with the correct graph.
g(x)= f(x - 1)

A)
B)
C)
D)

Question 19

The graph of the function f is shown below. Match the function g with the correct graph.

A)
B)
C)
D)

Question 20

Find the point that is symmetric to the given point with respect to the requested axis.
Symmetric with respect to the y-axis (1.5, -1.75)

A)(1.5, -1.5)
B)(-1.75, 1.5)
C)(-1.5, -1.75)
D)(-1.5, 1.75)

Question 21

The given point is on the graph of y = f(x). Find a point on the graph of y = g(x).
g(x) = f(-4x); (5, -4)

A) $\left( - \frac { 5 } { 4 } , - 4 \right)$
B) (20,4)
C) $\left( \frac { 1 } { 20 } , - 5 \right)$
D) (-20,-4)

Question 22

Determine algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin.
$x ^ { 2 } + 5 y ^ { 4 } = 2$

A) x -axis only
B) x -axis, y -axis, origin
C) x-axis, y-axis, origin
D) Origin only

Question 23

Find an equation of variation for the given situation.
m varies directly as p, and m = 20 when p = 5 .

A) m=4 p
B) m=25 p
C) $\mathrm { m } = \frac { 1 } { 4 } \mathrm { p }$
D) m=15 p

Question 24

For the pair of functions, find the indicated composition.
$f ( x ) = x ^ { 4 } + 5 , g ( x ) = \sqrt [ 4 ] { x - 5 }$
Find $( g \circ f ) ( x )$

A) x
B) $| x |$
C) $x ^ { 4 }$
D) -x

Question 25

A graph of y = f(x) follows. No formula for f is given. Graph the given equation.
y = 2f(x)

A)
B)
C)

D)

Question 26

Answer the question.
How can the graph of $f ( x ) = \frac { 1 } { - x } - 1$ be obtained from the graph of $y = \frac { 1 } { x } ?$

A) Reflect it across the y -axis. Shift it 1 units up.
B) Reflect it across the x -axis. Shift it 1 units down.
C) Reflect it across the x -axis. Shift it 1 units up.
D) Reflect it across the y-axis. Shift it 1 units down.

Question 27

Find f(x) and g(x) such that h(x) = (f g)(x).
$h ( x ) = \left( \frac { x ^ { 3 } + 5 } { 5 - x ^ { 3 } } \right) ^ { 8 }$

A) $f ( x ) = \left( x ^ { 3 } + 5 \right) ^ { 8 } , g ( x ) = 5 - x ^ { 3 }$
B) $f ( x ) = \frac { 1 } { x ^ { 8 } } , g ( x ) = \frac { x ^ { 3 } + 5 } { 5 - x ^ { 3 } }$
C) $f ( x ) = \frac { x ^ { 3 } + 5 } { 5 - x ^ { 3 } } , g ( x ) = x ^ { 8 }$
D) $f ( x ) = x ^ { 8 } , g ( x ) = \frac { x ^ { 3 } + 5 } { 5 - x ^ { 3 } }$

Question 28

For the pair of functions, find the indicated domain.
$f ( x ) = 2 x - 5 , g ( x ) = \sqrt { x + 10 }$
Find the domain of f+g

A) $[ 0 , \infty )$
B) (-10,10)
C) $[ 10 , \infty )$
D) $[ - 10 , \infty )$

Question 29

Solve the problem.
The force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of the car's speed, and inversely as the radius of the curve. If a force of 3600 pounds is needed to keep an 1800 pound car traveling at 20 mph from skidding on a curve of radius 600 feet, What force would be required to keep the same car from skidding on a curve of radius 700 feet at 30 mph? Round your answer to the nearest pound of force?

A)7513 lb
B)6811 lb
C)6975 lb
D)6943 lb

Question 30

Determine algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin.
$x ^ { 2 } + x y ^ { 2 } = - 4$

A) x -axis only
B) y-axis only
C) Origin only
D) x -axis, y -axis, origin

Question 31

Find an equation of variation for the given situation.
y varies inversely as x and y =5.25 when x=0.36

A) $y = \frac { 1.89 } { x }$
B) $y = \frac { 2.29 } { x }$
C) $y = \frac { 14.58 } { x }$
D) y=14.58x

Question 32

A graph of y = f(x) follows. No formula for f is given. Graph the given equation.
$$y = 2 f ( x )$$

A)
B)
C)

D)

Question 33

Write an equation for a function that has a graph with the given characteristics.
The shape of $y = \sqrt { x }$ is shifted 6 units to the left. Then the graph is shifted 8 units upward.

A) f(x)= $\sqrt { x + 8 } + 6$
B) f(x)= $\sqrt { x + 6 } + 8$
C) f(x)= $8 \sqrt { x + 6 }$
D) f(x)= $\sqrt { x - 6 } + 8$

Question 34

Write an equation for a function that has a graph with the given characteristics.
The shape of $f ( x ) = 8.8 | - x | + 7$ is reflected across the y -axis. This graph is then vertically stretched by a factor of 8.8. Finally, the graph is shifted 7 units downward.

A) $f ( x ) = 7 | - x | - 8.8$
B) $f ( x ) = 8.8 | - x | - 7$
C) $f ( x ) = - 8.8 | x | - 7$
D) $y = | x |$

Question 35

Solve the problem.
The speed of a vehicle is inversely proportional to the time it takes to travel a fixed distance. If a vehicle travels a fixed distance at 35 miles per hour in 40 minutes, how fast must it travel to cover the same distance in 50 minutes?

A) $\frac { 175 } { 4 } \mathrm { mph }$
B) $\frac { 4 } { 175 } \mathrm { mph }$
C) 28 mph
D) $\frac { 400 } { 7 } \mathrm { mph }$

Question 36

Solve.
Sue wants to put a rectangular garden on her property using 66 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as One side of the rectangle. (Fencing is then needed only on the other three sides.)Let x represent the length of the side of the rectangle along the river. Express the garden's area as a function of x.

A) $A ( x ) = 32 x - \frac { 1 } { 4 } x ^ { 2 }$
B) $A ( x ) = 33 x - \frac { 1 } { 2 } x ^ { 2 }$
C) $A ( x ) = 33 x ^ { 2 } - x$
D) $A ( x ) = 34 x - 2 x ^ { 2 }$

Question 37

For the pair of functions, find the indicated sum, difference, product, or quotient.
$f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x$
Find (f+g)(x)

A) $- x ^ { 2 } - x + 20$
B) $- x ^ { 2 } + x + 12$
C) $x ^ { 3 } - 4 x ^ { 2 } - 16 x + 64$
D) 4+x

Question 38

Solve.
A rectangle that is x feet wide is inscribed in a circle of radius 20 feet. Express the area of the rectangle as a function of x. Graph the function and from the graph determine the value of x, to the
Nearest tenth of a foot, which will maximize the area of the rectangle.

A)28.3 feet
B)28.7 feet
C)29.1 feet
D)27.9 feet

Question 39

The given point is on the graph of y = f(x). Find a point on the graph of y = g(x).
$g ( x ) = \frac { 1 } { 4 } f ( x ) ; ( - 4,20 )$

A) (-4,-5)
B) (1,5)
C) (-4,5)
D) (-1,-5)

Question 40

Solve the problem.
Ken is 6 feet tall and is walking away from a streetlight. The streetlight has its light bulb 14 feet above the ground, and Ken is walking at the rate of 1.9 feet per second. Find a function, d(t), which gives the distance Ken is from the streetlight in terms of time. Find a function, S(d), which gives the length of Ken's shadow in terms of d. Then find $( S \circ \mathrm { d } ) ( \mathrm { t } ) = 3.21 \mathrm { t }$

A) $( \mathrm { S } \circ \mathrm { d } ) ( \mathrm { t } ) = 1.05 \mathrm { t }$
B) $( \mathrm { S } \circ \mathrm { d } ) ( \mathrm { t } ) = 1.81 \mathrm { t }$
C) $( \mathrm { S } \circ \mathrm { d } ) ( \mathrm { t } ) = 1.43 \mathrm { t }$
D) $( S \circ \mathrm { d } ) ( \mathrm { t } )$

Question 41

Find the point that is symmetric to the given point with respect to the requested axis.
Symmetric with respect to the x -axis (7,2)

A) (-7,-2)
B) (2,7)
C) (7,-2)
D) (-7,2)

Question 42

For the pair of functions, find the indicated domain.
f(x)=2 x-5 , $g ( x ) = \sqrt { x + 6 }$
Find the domain of $\mathrm { f } \circ \mathrm { g } \text {. }$

A) (-6,6)
B) $[ - 6 , \infty )$
C) $[ 0 , \infty )$
D) $[ 6 , \infty )$

Question 43

Graph the equation.

A)
B)
C)
D)

Question 44

For the pair of functions, find the indicated sum, difference, product, or quotient.
f(x)=x+5, g(x)=x-4
Find (f+g)(-4) .

A) -9
B) 1
C) -17
D) -7

Question 45

Determine the domain and range of the function.

A) domain: $( - \infty , \infty )$ range: [0,4]
B) domain:
range: (0,4)
C) domain: (0,4) ; range: $(-\infty, \infty)$

D) domain: [0,4] ; range: $( - \infty , \infty )$

Question 46

Consider the functions F and G as shown in the graph. Provide an appropriate response.
Find the domain of F + G.

A) [-3,4]
B) [-1,3]
C) [-3,3]
D) [-1,4]

Question 47

Solve the problem.
The intensity of light from a light source varies inversely as the square of the distance from the source. Suppose the the intensity is 40 foot-candles at a distance of 10 feet. What will the intensity be at a distance of 23 feet? Round your answer to the tenths place.

A)7.3 foot-candles
B)7.8 foot-candles
C)7.0 foot-candles
D)7.6 foot-candles

Question 48

For the pair of functions, find the indicated sum, difference, product, or quotient.
f(x)=5+x, g(x)=4|x|
Find (g/f)(x).

A) $4 | x | - 5 + x$
B) $\frac { 4 | x | } { 5 } + x$
C) $\frac { 4 | x | } { 5 + x }$
D) $\frac { 5 + x } { 4 | x | }$

Question 49

Graph the function.

A)
B)
C)
D)

Question 50

For the piecewise function, find the specified function value.
$f ( x ) = \left\{ \begin{array} { l l } 6 x , & \text { for } x \leq - 1 \\x - 5 , & \text { for } x > - 1\end{array} \right.$
f(-7)

A) 42
B) -12
C) 2
D) -42

Question 51

Write an equation for a function that has a graph with the given characteristics.
The shape of $y = x ^ { 2 }$ but upside-down and vertically stretched by a factor of 6 .

A) $f ( x ) = ( x - 6 ) ^ { 2 }$
B) $f ( x ) = - 6 x ^ { 2 }$
C) $f ( x ) = 6 x ^ { 2 }$
D) $f ( x ) = 6 ( x - 6 ) x ^ { 2 }$

Question 52

For the function f, construct and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h }$
$f ( x ) = \frac { 16 } { x + 14 }$

A) $- \frac { 224 } { ( x + h + 14 ) ( x + 14 ) }$
B) $- \frac { 16 } { ( x + h + 14 ) ( x + 14 ) }$
C) $- \frac { 16 } { ( x + 16 ) ^ { 2 } }$
D) $\frac { 16 } { ( x + h + 14 ) ( x + 14 ) }$

Question 53

Graph the function. Use the graph to find any relative maxima or minima.

A) Relative maximum of 1 at x=-4
B) Relative minimum of 1.2 at x= -4
C) Relative minimum of 0.7 at x=-4
D) Relative minimum of -1 at x=-4

Question 54

Find an equation of variation for the given situation.
y varies jointly as x and z and inversely as the product of w and p , and $y = \frac { 6 } { 5 }$ when x=1, z=6 , w=20 and p=8 .

A) $y = \frac { 32 x z } { w p }$
B) $y = \frac { 35 w p } { x z }$
C) y=52pwxz
D) $\mathrm { y } = \frac { 192 \mathrm { xz } } { \mathrm { wp } }$

Question 55

Answer the question.
How can the graph of $f ( x ) = 0.4 ( x + 7 ) ^ { 2 } - 9$ be obtained from the graph of $y = x ^ { 2 } ?$

A) Shift it horizontally 7 units to the right. Shrink it vertically by a factor of 0.4 . Shift it 9 units up.
B) Shift it horizontally 7 units to the left. Shrink it vertically by a factor of 0.4 . Shift it 9 units down.
C) Shift it horizontally 7 units to the left. Shrink it horizontally by a factor of 0.4. Shift it 9 units down.
D) Shift it horizontally 9 units to the left. Stretch it vertically by a factor of 8 . Shift it 7 units down.

Question 56

Determine algebraically whether the function is even, odd, or neither even nor odd.
$f ( x ) = 3 \sqrt [ 3 ] { x }$

A) Even
B) Odd
C) Neither

Question 57

Solve.
AAA Technology finds that the total revenue function associated with producing a new type of computer chip is $R ( x ) = 80 - 0.3 x ^ { 2 }$ and the total cost function is C(x)=5 x+18 , where x represents the number of units of chips produced. Find the total profit function, P(x) .

A) $P ( x ) = 0.03 x ^ { 2 } + 5 x + 64$
B) $P ( x ) = - 0.03 x ^ { 2 } + 5 x - 62$
C) $P ( x ) = - 0.03 x ^ { 2 } - 5 x + 62$
D) $P ( x ) = - 0.03 x ^ { 2 } + 5 x + 98$

Question 58

Consider the functions F and G as shown in the graph. Provide an appropriate response.
Graph G - F.

A)
B)
C)
D)

Question 59

Find an equation of variation for the given situation.
y varies directly as x and inversely as z , and y=4 when x=2 and z=6 .

A) $y = \frac { 11 z } { x }$
B) y=15 x z
C) $y = \frac { 12 x } { z }$
D) $y = \frac { 16 x } { z }$

Question 60

Write an equation for the piecewise function.

A) $f ( x ) = \left\{ \begin{array} { l l } - 2 x , & \text { for } x \leq 1 \\x + 2 , & \text { for } x > 1\end{array} \right.$
B) $f ( x ) = \left\{ \begin{array} { l l } - x , & \text { for } x \leq 1 \\2 x + 1 , & \text { for } x > 1\end{array} \right.$
C) $f ( x ) = \left\{ \begin{array} { l l } 2 x , & \text { for } x \leq 1 \\x + 1 , & \text { for } x > 1\end{array} \right.$
D) $f ( x ) = \left\{ \begin{array} { l l } - 2 x , & \text { for } x \leq 1 \\x + 1 , & \text { for } x > 1\end{array} \right.$

Question 61

Determine algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin.

A) y -axis only
B) Origin only
C) x -axis, y -axis, origin
D) x-axis only

Question 62

For the pair of functions, find the indicated composition.
f(x)=4 x+15, g(x)=3 x-1
Find $( f \circ g ) ( x )$

A) 12 x+44
B) 12 x+11
C) 12 x+14
D) 12 x+19

Question 63

Find the requested function value.

Find

A) -20
B)
C) 60
D) -2

Question 64

Graph the function.

A)
B)
C)
D)

Question 65

round answer to the nearest hour
Find an equation of variation for the given situation.
r varies directly as s , and r=0.3333 when s=1 .

A) r= 2 s
B) r=3 s
C) r=0.3333 s
D) r=4 s

Question 66

Determine algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin.
y=|20 x|

A) y-axis only
B) x -axis only
C) x -axis, y -axis, origin
D) Origin only

Question 67

For the function f, construct and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h }$
$f ( x ) = 9 | x | + 4 x$

A) -3h
B) $\frac { 9 | x + h | - 4 h - 9 | x | } { h }$
C) -5h
D) $\frac { - 9 | x + h | - 5 h + 9 | x | } { h }$

Question 68

Determine algebraically whether the function is even, odd, or neither even nor odd.

A) Even
B) Odd
C) Neither

Question 69

Solve the problem.
The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If $\mathrm { V } = 392.0 \mathrm { in. } ^ { 3 }$ when $\mathrm { T } = 420 ^ { \circ }$ and $\mathrm { P } = 15 \mathrm { lb } / \mathrm { in } ^ { 2 }$ what is the volume when $\mathrm { T } = 200 ^ { \circ }$ and $\mathrm { P } = 15 \mathrm { lb } / \operatorname { in } ^ { 2 } ?$

A)
B)
C)
D)

Question 70

Write an equation for the piecewise function.

A)
B)
C)
D)

Question 71

Using the graph, determine any relative maxima or minima of the function and the intervals on which the function is
increasing or decreasing. Round to three decimal places when necessary.
$f ( x ) = \frac { 1 } { 2 } x ^ { 3 } + \frac { 1 } { 2 } x ^ { 2 } - x + 1$

A) relative maximum: 2.056 at x=-1.215 ; relative minima: 0.684 at x=0.549 and 1 at x=0 ; increasing (-1.215,0.549) ; decreasing $( - \infty , - 1.215 ) , ( 0.549 , \infty )$
B) relative maximum: 0.684 at x=0.549 ; relative minimum: 2.056 at x=-1.215 ; increasing (-1.215,0.549) ; decreasing $( - \infty , - 1.215 ) , ( 0.549 , \infty )$
C) no relative maxima or minima; increasing $( \rightarrow \infty , - 1.215 ) , ( 0.549 , \infty )$ decreasing (-1.215,0.549)
D) relative maximum: 2.056 at x=-1.215 ; relative minimum: 0.684 at x=0.549 ; increasing $( \infty , - 1.215 ) , ( 0.549 , \infty )$ decreasing (-1.215,0.549)

Question 72

Solve the problem.
The time it takes to complete a certain job varies inversely as the number of people working on that job. If it takes 36 hours for 11 carpenters to frame a house, then how long will it take 45 carpenters
To do the same job?

A)40 hr
B)13.8 hr
C)45 hr
D)8.8 hr

Question 73

For the pair of functions, find the indicated composition.
$f ( x ) = \frac { 2 } { x } , g ( x ) = 7 x ^ { 4 }$
Find $( g \circ f ) ( x )$

A) $\frac { 7 x ^ { 4 } } { 16 }$
B) $\frac { 7 x ^ { 4 } } { 2 }$
C) $\frac { 112 } { x ^ { 4 } }$
D) $\frac { 2 } { 7 x ^ { 4 } }$

Question 74

For the pair of functions, find the indicated sum, difference, product, or quotient.
$f ( x ) = x ^ { 2 } - 1 , g ( x ) = 9 x + 1$
Find $( f / g ) \left( - \frac { 1 } { 9 } \right)$

A) $\frac { 1 } { 2 }$
B) 0
C) does not exist
D) $- \frac { 2 } { 3 }$

Question 75

Solve the problem.
The amount of tread left on a tire varies inversely as the number of miles the tire has traveled. A tire that has traveled 93,000 miles has inches of tread left. How much tread will be left on a tire that has traveled 23,000 miles?

A) 595,200 in.
B)
C)
D)

Question 76

Find an equation of variation for the given situation.
y varies inversely as x and y=0.1 when x=0.5

A) $y = \frac { 0.6 } { x }$
B) $y = \frac { 0.2 } { x }$
C) y=0.2 x
D) $y = \frac { 0.05 } { x }$

Question 77

Find an equation of variation for the given situation.
y varies directly as the square of x , and y=8.75 when x=5 .

A) $y = 0.35 x ^ { 2 }$
B) $y = 0.39 \sqrt { x }$
C) $y = 1.92 x ^ { 2 }$
D) $y = 0.4 x ^ { 2 }$

Question 78

Determine if the graph is symmetric with respect to x-axis, y-axis, and/or the origin.

A) y-a x i s
B) Origin
C) x -axis, origin
D) x -axis

Question 79

For the pair of functions, find the indicated sum, difference, product, or quotient.

Find (f/g)(x)

A)
B)
C)
D)

Question 80

Solve.
A rectangular box with volume 517 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent
The length of a side of the base in feet. Express the cost of the box as a function of x and then graph
This function. From the graph find the value of x, to the nearest hundredth of a foot, which will
Minimize the cost of the box.

A)8.49 feet
B)8.83 feet
C)8.91 feet
D)8.79 feet